Loop Groupoids, Gerbes, and Twisted Sectors on Orbifolds
代数拓扑
2007-05-23 v3 数学物理
代数几何
math.MP
摘要
The purpose of this paper is to introduce the notion of loop groupoid associated to a groupoid. After studying the general properties of the loop groupoid, we show how this notion provides a very natural geometric interpretation for the twisted sectors of an orbifold, and for the inner local systems introduced by Ruan by means of a natural generalization of the concept holonomy of a gerbe.
引用
@article{arxiv.math/0110207,
title = {Loop Groupoids, Gerbes, and Twisted Sectors on Orbifolds},
author = {Ernesto Lupercio and Bernardo Uribe},
journal= {arXiv preprint arXiv:math/0110207},
year = {2007}
}
备注
Revised version. 23 pages. To appear in "Madison Orbifolds", Contemp. Math